Chern-Simons vs. Yang-Mills gaugings in three dimensions
Hermann Nicolai, Henning Samtleben
Abstract
Recently, gauged supergravities in three dimensions with Yang-Mills and Chern-Simons type interactions have been constructed. In this article, we demonstrate that any gauging of Yang-Mills type with semisimple gauge group G0, possibly including extra couplings to massive Chern-Simons vectors, is equivalent on-shell to a pure Chern-Simons type gauging with non-semisimple gauge group G0 T ⊂ G, where T is a certain translation group, and where G is the maximal global symmetry group of the ungauged theory. We discuss several examples.
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